{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Manifold Learning - The S Dataset - Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example code is using the following template\n",
    "http://scikit-learn.org/stable/auto_examples/manifold/plot_compare_methods.html\n",
    "    \n",
    "### Author: Jake Vanderplas -- <vanderplas@astro.washington.edu>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Automatically created module for IPython interactive environment\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dabe7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Adjustments by S.Kuehn, stefan.kuehn@xing.com\n",
    "\n",
    "print(__doc__)\n",
    "\n",
    "from time import time\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.ticker import NullFormatter\n",
    "%matplotlib inline\n",
    "from sklearn import manifold, datasets\n",
    "\n",
    "# Next line to silence pyflakes. This import is needed.\n",
    "Axes3D\n",
    "\n",
    "n_points = 100\n",
    "X, color = datasets.samples_generator.make_s_curve(n_points, random_state=0)\n",
    "labels = X[:,2]>0+0.0 \n",
    "\n",
    "# We now introduce a slight modification to the S curve - we lift the upper part a bit up and cut the S into two parts\n",
    "X[X[:,2]>=0,1] = X[X[:,2]>=0,1]-0.7\n",
    "X[X[:,2]>=0,2] = X[X[:,2]>=0,2]-2.7\n",
    "\n",
    "fig = plt.figure(figsize=(15, 15))\n",
    "plt.suptitle(\"The disconnected S Curve with %i points\"\n",
    "             % (n_points), fontsize=24)\n",
    "\n",
    "\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=labels, cmap=plt.cm.Spectral,s=125)\n",
    "ax.view_init(4, -72)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Random Projections\n",
    "\n",
    "http://scikit-learn.org/stable/modules/random_projection.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.5968446318662126,\n",
       " 0.01894477955670615,\n",
       " -3.0695929516301534,\n",
       " 0.556603847443681)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110c71be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn import random_projection\n",
    "n_neighbors = 10\n",
    "n_components = 2\n",
    "\n",
    "fig = plt.figure(figsize=(16, 8))\n",
    "plt.suptitle(\"Random Projections with %i points, %i components\"\n",
    "             % (n_points, n_components), fontsize=14)\n",
    "\n",
    "init_random_state=0\n",
    "\n",
    "t0 = time()\n",
    "transformer = random_projection.GaussianRandomProjection(n_components=2, random_state=init_random_state)\n",
    "Y1 = transformer.fit_transform(X)\n",
    "t1 = time()\n",
    "    \n",
    "ax = fig.add_subplot(121)\n",
    "plt.scatter(Y1[:, 0], Y1[:, 1], c=labels, cmap=plt.cm.Spectral)\n",
    "plt.title(\"%s (%.2g sec)\" % ('GRP', t1 - t0))\n",
    "ax.xaxis.set_major_formatter(NullFormatter())\n",
    "ax.yaxis.set_major_formatter(NullFormatter())\n",
    "plt.axis('tight')\n",
    "\n",
    "t0 = time()\n",
    "transformer = random_projection.SparseRandomProjection(n_components=2, random_state=init_random_state)\n",
    "Y2 = transformer.fit_transform(X)\n",
    "t1 = time()\n",
    "    \n",
    "ax = fig.add_subplot(121+1)\n",
    "plt.scatter(Y2[:, 0], Y2[:, 1], c=labels, cmap=plt.cm.Spectral)\n",
    "plt.title(\"%s (%.2g sec)\" % ('SRP', t1 - t0))\n",
    "ax.xaxis.set_major_formatter(NullFormatter())\n",
    "ax.yaxis.set_major_formatter(NullFormatter())\n",
    "plt.axis('tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Last but not least: PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.5832459580991467,\n",
       " 1.7844811587375335,\n",
       " -1.1904887906868167,\n",
       " 1.57882646880233)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c39e438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "fig = plt.figure(figsize=(8, 8))\n",
    "plt.suptitle(\"PCA with %i points, %i components\"\n",
    "             % (n_points, n_components), fontsize=14)\n",
    "\n",
    "init_random_state=0\n",
    "\n",
    "t0 = time()\n",
    "pca = PCA(n_components=2)\n",
    "Y = pca.fit_transform(X)\n",
    "t1 = time()\n",
    "    \n",
    "ax = fig.add_subplot(111)\n",
    "plt.scatter(Y[:, 0], Y[:, 1], c=labels, cmap=plt.cm.Spectral)\n",
    "plt.title(\"%s (%.2g sec)\" % ('PCA', t1 - t0))\n",
    "ax.xaxis.set_major_formatter(NullFormatter())\n",
    "ax.yaxis.set_major_formatter(NullFormatter())\n",
    "plt.axis('tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Add to feature set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn import neighbors, linear_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((100, 3), (100, 2))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape, Y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100,)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "labels.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KNN score: 0.600000\n",
      "LogisticRegression score: 0.800000\n"
     ]
    }
   ],
   "source": [
    "n_samples = n_points\n",
    "X_train = X[:int(.9 * n_samples)]\n",
    "X_test = X[int(.9 * n_samples):]\n",
    "y_train = labels[:int(.9 * n_samples)]\n",
    "y_test = labels[int(.9 * n_samples):]\n",
    "\n",
    "knn = neighbors.KNeighborsClassifier()\n",
    "logistic = linear_model.LogisticRegression()\n",
    "\n",
    "print('KNN score: %f' % knn.fit(X_train, y_train).score(X_test, y_test))\n",
    "print('LogisticRegression score: %f'\n",
    "      % logistic.fit(X_train, y_train).score(X_test, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KNN score: 0.800000\n",
      "LogisticRegression score: 0.800000\n"
     ]
    }
   ],
   "source": [
    "X_enriched = np.c_[X,Y,Y1,Y2]\n",
    "n_samples = len(X_enriched)\n",
    "\n",
    "X_train = X_enriched[:int(.9 * n_samples)]\n",
    "X_test = X_enriched[int(.9 * n_samples):]\n",
    "y_train = labels[:int(.9 * n_samples)]\n",
    "y_test = labels[int(.9 * n_samples):]\n",
    "\n",
    "\n",
    "knn = neighbors.KNeighborsClassifier()\n",
    "logistic = linear_model.LogisticRegression()\n",
    "\n",
    "print('KNN score: %f' % knn.fit(X_train, y_train).score(X_test, y_test))\n",
    "print('LogisticRegression score: %f'\n",
    "      % logistic.fit(X_train, y_train).score(X_test, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
